Finding the Third Proportional to 103,624 and 185,927

Step by Step Solution

1. Step 1: Write the proportion equation
   103,624 : 185,927 = 185,927 : x
2. Step 2: Convert to fraction form
   103,624/185,927 = 185,927/x
3. Step 3: Cross multiply
   103,624x = 185,927 × 185,927
4. Step 4: Simplify right side
   103,624x = 34,568,849,329
5. Step 5: Solve for x
   x = 34,568,849,329/103,624
6. Step 6: Final answer
   x = 333,598.87